10-1 Correlation 523 Statistical Literacy and Critical Thinking 1. Notation The author conducted an experiment in which the height of each student was measured in centimeters and those heights were matched with the same students’ scores on the first statistics test. a. For this sample of paired data, what does r represent, and what does r represent? b. Without doing any research or calculations, estimate the value of r. c. Does r change if the heights are converted from centimeters to inches? 2. Interpreting r For the same two variables described in Exercise 1, if we find that r = 0, does that indicate that there is no association between those two variables? 3.Global Warming If we find that there is a linear correlation between the concentration of carbon dioxide 1CO22 in our atmosphere and the global mean temperature, does that indicate that changes in CO2 cause changes in the global mean temperature? Why or why not? 4. Scatterplots Match these values of r with the five scatterplots shown below: 0.268, 0.992, -1, 0.746, and 1. 10-1 Basic Skills and Concepts (a) (b) (c) (d) (e)
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